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Finding the Fourth Proportional to 137,004.60, 189,073.50 and 83,280.80

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Solution

The fourth proportional to 137,004.60, 189,073.50 and 83,280.80 is: 114,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,004.60 : 189,073.50 = 83,280.80 : x
  2. Step 2: Convert to fraction form
    137,004.60/189,073.50 = 83,280.80/x
  3. Step 3: Cross multiply
    137,004.60x = 189,073.50 × 83,280.80
  4. Step 4: Simplify right side
    137,004.60x = 15,746,192,338.80
  5. Step 5: Solve for x
    x = 15,746,192,338.80/137,004.60
  6. Step 6: Final answer
    x = 114,931.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.